Pre-Algebra Summer Math Packet Incoming 7th Grade Kids .
Pre-Algebra – Summer Math PacketIncoming 7th GradeKids’ Information PageWe’re so proud of you for taking the time to work on math over thesummer!Here are some helpful hints for success: It’s ok to have parents and other adults help you! Find a quiet work space where you can get organized and stay focused. Pay close attention to the examples and vocabulary. Choose a unit that you like, and work through it completely before moving onto another unit.o Try to complete at least 1 worksheet per day.o Complete all of the problems on each worksheet. Calculators may ONLY be used when you see this symbol: Remember to do a little work each week. DO NOT wait until the week beforeschool starts to complete your packet! The packet should be returned to your math teacher during the first week ofschool.Have fun & we’ll see you in August!1
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Write equations and inequalities - BAn inequality is a mathematical sentence that contains the symbols , , , or .Examples:1) Two times a number is greater than 102x 102) Three less than a number is less than or equal to 7.x–3 73) The sum of a number and 1 is at least 5. x 1 54) Cody has 50 to spend. How many shirts can he buy at 16.50 each?Write an inequality for each of the following:1.) Five times a number is greater than 25.16.50x 502.) The sum of a number and 6 is at least 15.3.) 24 divided by some number is less than 7.4.) Five dollars less than two times Chris’ pay is at most 124.5.) In Ohio, you can get your license when you turn 16.Write an inequality to show the age of all drivers in Ohio.6.) Suppose a DVD costs 19 and a CD costs 14. Writean inequality to find how many CDs you can buy along withone DVD if you have 65 to spend.On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 122345
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Determine the unknown in a linear equation with 1 or 2 operationsRemember, equations must always remain balanced. If you add or subtract the same number from each side of an equation, the two sides remain equal. If you multiply or divide the same number from each side of an equation, the two sides remain equal.Example 1: Solve x 5 11x 5 11 Write the equation-5 -5Subtract 5 from both sidesx 6SimplifyExample 2: Solve - 21 - 3y- 21 - 3y Write the equation- 3 - 3 Divide each side by – 37 ySimplifyExample 3: Solve 3x 2 233x 2 23 Write the equation- 2 - 2 Subtract 2 from each side3x 21 Simplify33 Divide each side by 3x 7 SimplifyCheckx 5 11 Write the equation6 5 11 Replace x with 611 11 The sentence is trueCheck- 21 - 3y Write the equation- 21 - 3(7) Replace the y with 7-21 - 21? Multiply – is the sentence true?Check3x 2 23 Write the equation3(7) 2 23? Replace x with 721 2 23? Multiply23 23? Add – is the sentence true?1.) Solve x – 9 -122.) Solve 48 - 6r3.) Solve 2t 7 -14.) Solve 4t 3.5 12.55.) It costs 12 to attend a golf clinic with a local pro.Buckets of balls for practice during the clinic cost 3 each.How many buckets can you buy at the clinic if you have 30 to spend?6.) An online retailer charges 6.99 plus 0.55 per poundto ship electronics purchases. How many pounds is a DVDplayer for which the shipping charge is 11.94?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 132345
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Solve for the unknown in an inequality with one variable.An inequality is a mathematical sentence that contains the symbols , , , or .Example 1: Solve v 3 5v 3 5 Write the inequality- 3 - 3 Subtract 3 from each sidev 2 SimplifyCheck: Try 1, a number less than 2v 3 5 Write the inequality1 3 5 Replace v with 14 5? Is this sentence true? yesExample 2: Solve 2x 8 242x 8 24 Write the inequality- 8 - 8 Subtract 8 from each side2x 16 Simplify22 Divide each side by 2x 8 SimplifyCheck: Try 7, a number less than 82x 8 24 Write the inequality2(7) 8 24 Replace x with 714 8 24 Multiply 7 by 222 24? Is the sentence true? yes1.) Solve y 5 142.) Solve 6u 363.) Solve 5y 1 364.) Solve 4x – 6 -105.) The speed limit on highways in Florida is 70 miles perhour. Write and solve an inequality to find how long it willtake you to travel the 105 miles from Orlando to St.Augustine if you travel at or below the speed limit.6.) You have 80. Jeans cost 29 and shirts cost 12.Mom told you to buy one pair of jeans and use the rest ofthe money to buy shirts. Use this information to write andsolve an inequality. How many shirts you can buy?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 142345
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Identify or graph solutions of inequalities on a number line.Examples: Graph each inequality on a number line.x 2The open circle means that the number is not included in the solution.y 8The closed circle means that the number is included in the solution.m -3The solution is all numbers less than negative three.-3 is not included in the solution.1.) Write an inequality for the graph.2.) Write an inequality for the graph.3.) Graph the inequality.4.) Graph the inequality.b -15.) Solve the inequality, then graph it on the number line.y 9 13z 36.) Solve the inequality, then graph it on the number line.4x – 6 -10On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 152345
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Apply given formulas to a problem-solving situation using formulas having no more than three variables.Example 1:The perimeter of a rectangle is twice the length (L) plus twice the width (W). P 2L 2WUse the given formula to find the perimeter of the rectangle.8 cmP 2L 2WP 2(10) 2(8)P 20 16P 36 cmWrite the equationReplace L and W with the length and widthMultiplySimplify and add the correct label10 cmExample 2:The area A of a circle equals the product of pi (π) and the square of its radius (r).Use the given formula to find the area of the circle.r 2 ft A πr2A 3.14 (2)2A 3.14 4A 12.56 ft21.) The formula for finding the area of a rectangle isA L W. Use this formula to find the area of therectangle.A πr2(π 3.14)Write the equationReplace π with 3.14 and r with 2Square the 2Simplify and add the correct label2.) The formula for finding the area of a triangle is1A bh. Find the area of the triangle below.29 cm4 cm3.) A trapezoid has two bases (b1 and b2). The formula forfinding the area of a trapezoid is:b1 8 cmFind the area of the trapezoid.4.) The formula for finding the volume of a rectangularprism is V L W H. Find the volume of the box.L 12 in.H 7 in.W 5 in.b2 18 cm5.) Margot planted a rectangular garden that was 18 feetlong and 10 feet wide. How many feet of fencing will sheneed to go all the way around the garden? P 2L 2W6.) Juan ran all the way around a circular track one time.The diameter (d) of the track is 60 meters. The formula forcircumference of a circle is C πd. Use this formula to findout how far Juan ran.On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 162345
Pre-Algebra – Summer Math PacketUnit: Knowledge of Algebra, Patterns, and FunctionsObjective: Graph ordered pairs in a coordinate plane.The coordinate plane is used to locate points. The horizontal number line is the x-axis. The verticalnumber line is the y-axis. Their intersection is the origin.Points are located using ordered pairs. The first number in an ordered pair is the x-coordinate; thesecond number is the y-coordinate.The coordinate plane is separated into four sections called quadrants.Example 1: Name the ordered pair for point P. Then identify the quadrant in which P lies. Quadrant 2 Start at the origin. Move 4 units left along the x-axis. Move 3 units up on the y-axis.The ordered pair for point P is (- 4, 3).P is in the upper left quadrant or quadrant II.Example 2: Graph and label the point M (0, - 4). Start at the origin. Move 0 units along the x-axis. Move 4 units down on the y-axis. Draw a dot and label it M(0, - 4).1.) Name the ordered pair for each point graphed at theright. Then identify the quadrant in which each point lies.CoordinatesQuadrant 3Then identify the quadrant in which each point lies.CoordinatesQuadrantP ( , )A ( , )Q ( , )J ( , )R ( , )B ( , )S ( , )H ( , )4.) Graph and label each point on the coordinate plane.N(3, -1)D(0, 4)P(-2, 4)E(5, 5)Q(-3, -4)G(-3, 0)R(0, 0)H(-6, -2)S(-5, 0)J(0, -2)On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 17Quadrant 42.) Find each of the points below on the coordinate plane.Quadrant3.) Graph and label each point on the coordinate plane.Quadrant 12345
Pre-Algebra – Summer Math PacketUnit: Knowledge of GeometryObjective: Identify and describe angles formed by intersecting lines, rays, or line segments - BExamples:When two lines intersect, they form two pairs of opposite angles calledvertical angles, which are always congruent.Congruent angles have the same measure. 1 2 means that angle 1 is congruent to angle 2.Two angle are supplementary if the sum of their measures is 180 .126 54 180 Two angles are complementary if the sum of their measures is 90 .32 58 90 1.) Classify the angles as complementary,supplementary, or neither.2.) Classify the angles as complementary,supplementary, or neither.3.) Classify the angles as complementary,supplementary, or neither.4.) Classify the angles as complementary,supplementary, or neither.5.) A map shows a railroad crossing a highway, as shownbelow. Which of the numbered angles are vertical angles?6.) In a game of pick-upsticks, the last 4 sticks areshown below. Which ofthe numbered angles arevertical angles?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 182345
Pre-Algebra – Summer Math PacketUnit: Knowledge of GeometryObjective: Determine the measure of angles formed by intersecting lines, line segments, and rays.Example 1: Find the value of x in the figure.The two angles are supplementary, so the sum of their measures is 180 .x 35 180- 35 - 35x 145Write the equationSubtract 35 from both sidesSimplifyThe angle is 145 Example 2: Find the value of x in the figure.The two angles are complementary, so the sum of their measures is 90 .x 66 90- 66 - 66x 24Write the equationSubtract 66 from both sidesSimplifyThe angle is 24 1.) Find the value of x.2.) Find the value of x.3.) Find the value of x.4.) Find the value of x.5.) A kite string makes an angle of 48 with respect to theground as shown below. The dashed line is vertical andthe ground is horizontal. How are the 48 angle and theunknown angle related? What is the value of x ?6.) A side view of the Great Pyramid at Giza is shownbelow. The sides of the pyramid make an angle of 52 withrespect to the ground. What is the value of x?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 192345
Pre-Algebra – Summer Math PacketUnit: Knowledge of GeometryObjective: Determine a missing angle using the sum of the interior angles in a quadrilateralExamples of The sum of the measures of the angles of a quadrilateral is 360 .m 1 m 2 m 3 m 4 360 Trapezoid213141Example: Find the missing measure in the quadrilateral.135 110 75 x 360 The sum of the measures is 360 320 x 360 Simplify- 320- 320 Subtract 320 from each sidex 40 The missing angle is 40 Find the missing measure in each of the following quadrilaterals.1.)2.)3.)4.)5.) The top of Mrs. Hartsock’s coffee table is shown below.Find the measure of the missing angle.6.) Maria needs to cut a piece of carpet to fit the spacedrawn below. What should the measure of the missingangle be?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1102345
Pre-Algebra – Summer Math PacketUnit: Knowledge of GeometryObjective: Determine the congruent parts of polygons.Congruent PolygonsNon Congruent PolygonsPolygons that have exactly the same size andthe same shapeSegments that have the same lengthAngles that have the same measureSides of a polygon that are matched up withsides of another congruent or similar polygonAngles of a polygon that match up with anglesof another congruent or similar polygonCorresponding sides and angles of congruentpolygons are congruent:Congruent PolygonsCongruent SegmentsCongruent AnglesCorresponding Sides of a PolygonCorresponding Angles of a Polygon ABC DEFA3cmB1.)GD3cmC7cm5cmELHyM A D B E C F2.) Use the figures in problem #1 to complete the followingcongruence statements.x4cmFAB DEBC EFAC DFF7cm45 8cmJKz8cmNPolygon FGHJ polygon NMLKComplete the following congruence statements.a) GH b) KL b) y b) K c) H d) F c) FJ 3.) Look at the figures in problem #1. Determine themeasure of each segment or angle.a) x a) G 4.) Polygon HJKLMNPQ is congruent to polygonRSTUVXYZ. What is the length, in units, of RZ?(Note: Figures are not drawn to scale.)c) z On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1112345
Pre-Algebra – Summer Math PacketUnit: Knowledge of MeasurementObjective: Estimate and determine the area of quadrilaterals using parallelograms or trapezoids – A.The area A of a parallelogram equals the product of its base b and its height h. Because rectangles, rhombuses, andsquares are all parallelograms, the formula for finding the area of a parallelogram is also used to find the areas of each ofthese figures.A bhExample: Find the area of a parallelogram if the base is 6 inches and the height is 3.7 inches.Estimate: A 6 4 or 24 in2Calculate: A bhA 6 3.7A 22.2Check:Area of a parallelogramReplace b with 6 and h with 3.7MultiplyThe area of the parallelogram is 22.2 square inches. This is close to the estimate.Find the area of each parallelogram. Round to the nearest tenth if necessary.1.)2.)3.)4.)5.) Joyce wants to construct a sail withthe dimensions shown. How muchmaterial will be used?6.) Two parallel streetsare cut across by twoother parallel streets asshown in the figure.What is the area of thegrassy area in themiddle?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1122345
Pre-Algebra – Summer Math PacketUnit: Knowledge of MeasurementObjective: Estimate and determine the area of quadrilaterals using parallelograms or trapezoids – B.A trapezoid has two bases, b1 and b2. The height of a trapezoid is the distance between the two bases. The area A of atrapezoid equals half the product of the height h and the sum of the bases b1 and b2.A ½ h(b1 b2)Example: Find the area of the trapezoid.A 1/2 h (b1 b2)A 1/2 (4) (3 6)A 18Area of a trapezoidReplace h with 4, b1 with 3, and b2 with 6.The area of the trapezoid is 18 square centimeters.Find the area of each trapezoid. Round to the nearest tenth if necessary.1.)2.)3.)4.)5.) Arkansas has a shape that is similar to a trapezoid withbases of about 182 miles and 267 miles and a height ofabout 254 miles. Estimate the area of the state.6.) Greta is making a patio with the dimensions given in thefigure. What is the area of the patio?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1132345
Pre-Algebra – Summer Math PacketUnit: Knowledge of MeasurementObjective: Determine the distance between 2 points using a drawing and a scale.A scale drawing represents something that is too large or too small to be drawn at actual size. Similarly, ascale model can be used to represent something that is too large or too small for an actual-size model. Thescale gives the relationship between the drawing/model measure and the actual measure.Example: On this map, each grid unit represents 50 yards. Find the distance from Patrick’s Point to Agate Beach.ScalePatrick’s Pointto Agate Beachmapactual1 unit50 yards 1 x 50 88 unitsmapx yardsactualcross multiplyx 400simplifyIt is 400 yards from Patrick’s Point to Agate Beach.1.) On a map, the distance from2.) Lexie is making a model of the Empire State Building.Los Angeles to San Diego is 6.35 cm.The scale of the model is 1 inch 9 feet.The scale is 1 cm 20 miles. What isThe needle at the top is 31.5 feet tall.the actual distance?How big should the needle be on themodel?LosAngeles San Diego 3.) A scale drawing of an automobile has a scale of1 inch ½ foot. The actual width of the car is 8 feet. Whatis the width on the scale drawing?4.) A model ship is built to a scale of 1 cm : 5 meters.The length of the model is 30 centimeters. What is thelength of the actual ship?30 cm8 ft.Actual car5.) Jose wants to build a model of a 180-meter tallbuilding. He will be using a scale of 1.5 centimeters 3.5meters. How tall will the model be? Round your answer tothe nearest tenth.6.) A pond is being dug according to plans that have ascale of 1 inch 6.5 feet. The maximum distance acrossthe pond is 9.75 inches on the plans. What will be theactual maximum distance across the pond?Plans?9.75 in.ModelOn a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1142345
Pre-Algebra – Summer Math PacketUnit: Knowledge of StatisticsObjective: Analyze data and recognize the misuses of dataExamples: Graphs can be misleading for many reasons: No title; the scale does not include 0; there are no labelson either axis; the intervals on a scale are not equal; or the size of the graphics misrepresents the data.The bar graphs above show the total US National Income (nonfarm). Which graph is misleading? Explain. Graph B is misleading because the scale on the vertical axis does not have equal intervals. It makes theincome appear to be slower.Students in Middle School350# ofStudents30025020015010050Kennedy DwightMiddle MiddleHowser RumsfieldMiddleMiddleSchool NameThe following bar graph represents the number of studentsin four different middle schools. Determine why this graphmay be considered misleading.2.) The graphrepresents pointsscored by theBaltimore Ravensduring the 20032004 footballseason. Whatmakes this graphmisleading?Explain.Football Game Points200Points Scored1.)1501005001234567Game Number3.) List 4 different situations that make a graphmisleading.4.) Look at #2, what would you change to make this graphnot misleadingThe graph below represents cans collected for a food driveat Willowdale Middle.Use the graph to the left to answer questions 5 & 6.5.) Determine what makes this graph misleading.Cans CollectedFood Drive71006100510041003100210011001006.) Using the Canned Food Drive Graph, how would youchange the graph to better show the data and not bemisleading?123GradeOn a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1152345
Pre-Algebra – Summer Math PacketUnit: Knowledge of StatisticsObjective: Determine the best choice of a data display for a given data set.Examples: Different types of graphs are better suited for certain types of data.Bar Graph – Use when comparing data (Ex. Football teams and # of wins)Line Graph – Use when data is over time (Ex. Rainfall each month for 1 year)Circle Graph (Pie Graph) – Use when data is dealing with or % (Ex. Allowance – how you spend it)Stem & Leaf Plot – Use to show individual data (Ex. Class test scores)Back-to-Back Stem & Leaf Plot – Use when comparing 2 large sets of data & showing individual data scoresDirections: Look at the following situations and tell what type of graph would be the best choice to display the data.Choose BAR, LINE, CIRCLE, or STEM & LEAF.1.) How the Federal Government spends each part of your 2.) You are keeping track of your little sister’s/brother’stax dollarheight from age 3 months to 5 years old3.) Lengths of the 5 largest rivers in the world4.) Number of points scored in each game during the 99-00SeasonRedskins: 35 50 27 38 24 20 21 26 2148 17 28 23 20 17 28Ravens: 10 20 17 19 1134 23 41 31 31 22 35.)1041 3456.)Students who ride a busYEARSTUDENTS2000333200129720023602003365# of Species at the ZooZOOSPECIESLos Angeles350Lincoln Park290Cincinnati700Bronx530Oklahoma City600On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 116823
Pre-Algebra – Summer Math PacketUnit: Knowledge of StatisticsObjective: Compare the measures of central tendency (mean, median, mode) to determine which is most appropriate.Examples:MEANMEDIANMODEWhat is it?AverageMiddle ## shown the MOST oftenHow to find it?Order data from least toLook at data &Sum of Data ( )greatest, then find theFind the # that# of Data Points ( )middle #appears the most.2 middle #s - Average2 modes – BimodalMost Useful when:-- Data has no outliers-- Data has outliers-- Data has many identicalOutliers are REALLY low & high -- There are no large gaps in(same) #s#sthe middle of the dataUse the table at the right.Caribbean IslandsIslandArea (Sq Mi)IslandArea (Sq Mi)Find the mean, median, &Antiqua108Martinique425mode of the data.Aruba75Puerto Rico3,339Mean: 488.3Barbados166Tobago116Median: 150Curacao171Virgin Islands, UL59Mode: NoneDominica290Virgin Islands, US134Which measure of central tendency would be misleading in describing the size of the islands? Explain.The mean could be misleading since the areas of all but one of the islands are less than that value.Which measure would most accurately describe the data? MedianUse the table that shows the miles of shoreline for five 1.) Determine the mean, median, and mode of the data.states to answer questions 1 – 3.Miles of Shoreline2.) Which measure of central tendency is misleading inStateLength of Shoreline (mi)describing the miles of shoreline for the states? Explain.VirginiaMarylandWashingtonNorth CarolinaPennsylvania3,3153,1903,0263,375893.) Which measure of central tendency most accuratelydescribes the data? Explain.Book Sales: Use the table below that shows thenumber of books sold each day for 20 days to answerquestions 4 – 5.2324191236Book Sales Per Day182315160111013172311162412274.) Determine the mean, median, & mode of the data.5.) Which measure of central tendency would bemisleading in describing the book sales & which measuremost accurately describes the data? Explain.6.) Michael & Melissa both claim to be earning a C average, 70% to 79%, in their Latin Class. Use the table below toexplain their reasoning and determine which student is earning a C average.MichaelMelissaTest 18088Test 27683GRADES (%)Test 3 Test 473707570Test 54060Test 62565Test 71062On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1172345
Pre-Algebra – Summer Math PacketUnit: Knowledge of ProbabilityObjective: Identify a sample space and determine the number of outcomes using no more than 3 independent events.Examples: Sample Space is a listing of all the possible outcomes in a probability experiment. One way to determinesample space is to draw a tree diagram.A family has two children. Draw a tree diagram to show the sample space of the children’s genders. Thendetermine the probability of the family having two girls.First ChildSecond ChildSample SpaceBoyBoy, BoyBoyGirlBoy, Girl1Probability (Girl, Girl) BoyGirl, Boy4GirlGirlGirl, Girl FUNDAMENTAL COUNTING PRINCIPLE is used to quickly determine the total number of possibleoutcomes. Multiply the number of possibilities for each event together.An ice cream sundae at the Ice Cream Shoppe is made from one flavor of ice cream and one topping. For icecream flavors, you can choose from chocolate, vanilla, and strawberry. For toppings, you can have hot fudge,butterscotch, caramel, and marshmallow. Determine the number of different sundaes that are possible.# of ice cream flavorsx# of toppings(Chocolate, Vanilla, Strawberry)(Hot Fudge, Butterscotch, Caramel, Marshmallow)3x412 total possible outcomes1.) A certain type of kickboard scooter comes in silver, red, 2.) Draw a tree diagram of the situation in #1 to show theor purple with wheel sizes of 125 millimeters or 180sample space.millimeters. Determine the total number of color-wheel sizecombinations.3.) Charlene packed 4 shirts and 3 pairs of pants for hertrip to the beach. Make a tree diagram to show all ofCharlene’s possible outfits.Blue, Yellow, Green, PurpleJeans, Khaki, White5.) Craig stops at a gas station to fill his tank. He mustchoose between full-service or self-service and betweenregular, midgrade, and premium gasoline. Draw a treediagram showing the possible combinations of service andgasoline type. How many possible combinations arethere?4.) The table below shows the shirts, shorts, and shoes inGeorge’s wardrobe. How many possible outfits can hechoose consisting of one shirt, one pair of shorts, and onepair of WhiteBlueYellow6.) Determine the total number of outcomes by choosing avowel from the word COMPUTER and a consonant fromthe word BOOK.On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1182345
Pre-Algebra – Summer Math PacketUnit: Knowledge of ProbabilityObjective: Determine the probability of an event comprised of 2 independent events.Examples: INDEPENDENT EVENTS: the outcome of one event does NOT affect the outcome of the 2nd event. The probability of two independent events can be found by multiplying the probability of the first event bythe probability of the second event. P(A and B) P (A) P (B)AA number cube is rolled, and the spinner at the right is spun.Determine the probability of rolling a 2 and spinning a vowel.BEP (2 and vowel) P (2) P (vowel)1221 6530 15CDA coin is tossed and a number cube is rolled. Find the probability of tossing tails and rolling a 5.P (tails, 5) P (tails) x P (5)111x 26 121.) A coin is tossed, and a number cube is rolled. What isthe probability of tossing heads, and rolling a 3 or a 5?2.) A red and a blue number cube are rolled. Determinethe probability that an odd number is rolled on the red cubeand a number greater than 1 is rolled on the blue cube.3.) One letter is randomly selected from the word PRIMEand one letter is randomly selected from the word MATH.What is the probability that both letters selected arevowels?4.) What is the probability of spinning a number greaterthan 5 on a spinner numbered 1 to 8 and tossing a tail on acoin?5.)6.)Kid’s Carnival MealsChoose 1 from each columnChicken NuggetsFrench FriesHamburgerApple slicesCheeseburgerPizzaWhat is the probability that Joey will choose a hamburgerand apple slices?RedBlueYellow GreenFor his probability experiment, Ryan is going to spin aspinner and roll a six-sided number cube. What is theprobability of spinning “Red” and rolling a “2”?On a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1192345
Pre-Algebra – Summer Math PacketUnit: Knowledge of ProbabilityObjective: Make predictions and express probability of the results of a survey or simulation as a fraction, decimal, orpercent. - AExamples: Experimental probability can also be based on past performances and can be used to makepredictions on future events.SIDE DISH# of PeoplePotato Salad55In a survey, 100 people were asked to name their favorite IndependenceGreenSalad25Day side dishes. What is the experimental probability of macaroni saladOr vegetablesbeing someone’s favorite dish?Macaronisalad12There were 100 people surveyed and 12 chose macaroni salad, SO theColeslaw8123experimental probability is. 100 25Suppose 250 people attend the city’s Independence Day barbecue. How many can be expected to choosemacaroni salad as their favorite side dish?3xWrite a proportion.(Use the experimental probability in the proportion.) 25 250Solve by using cross products.25x 3(250)About 30 will choose macaroni salad.x 301.) Using the table in the example, what is the2.) Using the information in the example and question 1,experimental probability of potato salad being someone’sabout how many people can be expected to choose potatofavorite dish?salad as their favorite dish if 400 attend the barbecue?3.) In a survey, 50 people were asked to pick which moviethey would see this weekend. Twenty chose Horror Story,15 chose The Ink Well, 10 chose The Monkey House, and5 chose Little Rabbit. What is the experimental probabilityof someone wanting to see The Monkey House?X Games# of Students2016124.) Using the information from question # 3, suppose 300people are expected to attend a movie theater thisweekend to see one of the four movies listed. How manycan be expected to see The Monkey House?For questions 5 & 6, use the graph shown at the left.The graph shows the results of a survey in which 50students were asked to name their favorite X Gamesport.5.) Suppose 500 people attend the X Games. How manycan be expected to choose Inline as their favorite oInl ineBMX06.) Suppose 500 people attend the X Games. How manycan be expected to choose speed climbing as their favorsport?SportOn a scale of 1 – 5 (1: Weak, 5: Strong) rate yourself on this section of math: 1202345
Pre-Algebra – Summer Math PacketUnit: Knowledge of ProbabilityObjective: Make predictions and express probability of the results of a survey or simulation as a fraction,decimal, or percent. - BExamples:Probability is a way to measure the chance that an event will occur. You can use this formula to determine the probability, P, of anevent.number of favorable outcomesP number of possible outcomesProbability can be expressed as a FRACTION, DECIMAL, or PERCENT.A jar contains 10 purple, 3 orange, and 12 blue marbles. A marble is drawn at random.Determine the probability that you wi
Pre-Algebra – Summer Math Packet 1 Incoming 7th Grade Kids’ Information Page We’re so proud of you for taking the time to work on math over the summer! Here are some helpful hints for success: It’s ok
So you can help us find X Teacher/Class Room Pre-Algebra C-20 Mrs. Hernandez Pre-Algebra C-14 . Kalscheur Accelerated Math C-15 Mrs. Khan Honors Algebra 2 Honors Geometry A-21 Mrs. King Math 7 Algebra 1 Honors Algebra 1 C-19 Mrs. Looft Honors Algebra C-16 Mr. Marsh Algebra 1 Honors Geometry A-24 Mrs. Powers Honors Pre-Algebra C-18 Mr. Sellaro .
Summer Packet 2021: Pre-Algebra College Prep *** Students Entering 7th or 8th Grade Pre-Algebra Purpose: This packet is designed to help students stay on track over the summer and enter 7th grade confident and prepared for a great school year. Math teachers have selected 6 skills that are important for the students’ success in Pre-Algebra.
Summer Math Packet 2019 Rising Pre-Algebra (Math 8) Poe Middle School If you are taking Pre-Algebra next year, this is the packet for you! summer to keep your math skills sharp before the next Complete the following problems each week over the school year. You may use a calculator, but be sure to show all your steps with each problem and to label
Robert Gerver, Ph.D. North Shore High School 450 Glen Cove Avenue Glen Head, NY 11545 gerverr@northshoreschools.org Rob has been teaching at . Algebra 1 Financial Algebra Geometry Algebra 2 Algebra 1 Geometry Financial Algebra Algebra 2 Algebra 1 Geometry Algebra 2 Financial Algebra ! Concurrently with Geometry, Algebra 2, or Precalculus
Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra 1/2 Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra ½ form a series of courses to move students from primary grades to algebra. Each course contains a series of daily lessons covering all areas of general math. Each lesson
Algebra 1 Summer Packet Get ready for Algebra with Ms. Murano! In this packet you will find a review of the most important topics you learned in 7th Grade Accelerated Math this year. Reviewing these topics over the summer will help you be prepared for Algebra I in September! There is a brief review of each important topic with problems that are
The purpose of this summer math packet is to provide you with notes and practice problems to help you review what you learned in sixth grade math. The summer math packet will NOT be graded. However, you are responsible for this material. Within the first few days of Math 7, you will be assessed on the math skills
The automotive data ecosystem is large and complex, with fluctuating partnerships and alliances. Many players are working on positioning themselves in a future-ready place in the ecosystem. In this chapter we will therefore dive into topics related to the automotive data ecosystem, vehicle communication, use cases for vehicle generated data and market dynamics. KPMG Digital 7 Automotive .
